Constructions
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Exam Style Questions
Constructions
Equipment needed: Pencil, Ruler, Pair of Compasses
Guidance
1. Read each question carefully before you begin answering it.
2. Check your answers seem right.
3. Always show your workings
Video Tutorial
www.corbettmaths.com/contents
Videos 72, 73, 74,
78, 79, 80
Answers and Video Solutions
© Corbettmaths 2024
1. Use ruler and compasses to construct the perpendicular bisector of AB.
You must show clearly all your construction arcs.
(2)
2. Using ruler and compasses, construct the bisector of angle ABC.
(2)
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3.
The line CD is drawn above.
Use ruler and compasses to construct the perpendicular bisector of CD.
You must show clearly all your construction arcs.
(2)
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4. Using ruler and compasses, construct the bisector of angle ABC.
(2)
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5. Use a ruler and compasses to construct the perpendicular bisector of DE.
(2)
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6. Shown below are points C and D.
Construct a locus of points that are equidistant from points C and D.
(2)
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7. Theodore was asked to construct the perpendicular bisector of the line AB.
He has labelled his answer, CD.
Explain Theodore’s mistake.
…………………………………………………………………………………………………
…………………………………………………………………………………………………
…………………………………………………………………………………………………
(1)
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8. In the space below, use ruler and compasses to construct an equilateral triangle
with sides of length 5cm.
(2)
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9. Use a ruler and compasses to construct a regular hexagon that is inscribed in the
circle below.
(2)
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10. The diagram shows a triangle, PQR.
(a) Using a ruler and compasses only, construct the perpendicular bisector of PR.
You must show clearly all your construction arcs.
(2)
(b) Repeat this construction on another side of the triangle.
(1)
(c) The point of intersection of the two bisectors is the centre of the circle that
passes through P, Q and R.
Draw this circle.
(2)
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11. Use a ruler and compasses to construct the perpendicular to the line segment AB
that passes through the point P.
You must show all construction lines.
(2)
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12. Use a ruler and compasses to construct the perpendicular from the line segment AB
to the point C.
You must show all construction lines.
(2)
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13. Construct the perpendicular from the point P to the line CD.
You must show all construction lines.
(2)
© Corbettmaths 2024